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Finding the Fourth Proportional to 172,510.50, 258,765.75 and 47,851.50

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Solution

The fourth proportional to 172,510.50, 258,765.75 and 47,851.50 is: 71,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,510.50 : 258,765.75 = 47,851.50 : x
  2. Step 2: Convert to fraction form
    172,510.50/258,765.75 = 47,851.50/x
  3. Step 3: Cross multiply
    172,510.50x = 258,765.75 × 47,851.50
  4. Step 4: Simplify right side
    172,510.50x = 12,382,329,286.13
  5. Step 5: Solve for x
    x = 12,382,329,286.13/172,510.50
  6. Step 6: Final answer
    x = 71,777.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.